Sorry you are going through this! DDs first 3 months at daycare were rough, and she was 16m.
I'm wondering if he has a slight fever due to the hot head/cold body situation. In that case, I think you'd just want to cover him in a light cotton blanket. Otherwise, my babies always had freezing cold hands....like ice cubes when they would nurse at night. Holding them really close to warm them against my skin helped, but not sure if that's an option at daycare.
Hope things are going well and that tonight is a better night. Just an FYI, breastmilk makes a great nasal spray!
Happy Mommy to one amazing girl (6y) and one sweet boy (2y), and wife to DH since 7/03 : :